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Ring and kernel
i. Let R be a set with 2 laws of composition satisfying all ring axioms except the comutative law for addition. Use the distributive law to prove that the commutative law for addition holds, such that R is a ring.
ii. Find generator for the kernel of the map Z[x]->C defined by x->sqrt(2)+sqrt(3).
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What percentage change in the required sample size would this produce?
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